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Simplifying -5(7b + 3) = 27 + 7b Reorder the terms: -5(3 + 7b) = 27 + 7b (3 * -5 + 7b * -5) = 27 + 7b (-15 + -35b) = 27 + 7b Solving -15 + -35b = 27 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -15 + -35b + -7b = 27 + 7b + -7b Combine like terms: -35b + -7b = -42b -15 + -42b = 27 + 7b + -7b Combine like terms: 7b + -7b = 0 -15 + -42b = 27 + 0 -15 + -42b = 27 Add '15' to each side of the equation. -15 + 15 + -42b = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -42b = 27 + 15 -42b = 27 + 15 Combine like terms: 27 + 15 = 42 -42b = 42 Divide each side by '-42'. b = -1 Simplifying b = -1
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